Navier-Stokes Equations: A Mathematical Analysis

1. Auflage 2019
ISBN: 978-3-0348-0483-7
Verlag: Springer

Buch, Englisch, Band 202, 495 Seiten, Book, Format (B × H): 155 mm x 235 mm

Reihe: Monographs in Mathematics

The Navier-Stokes equations - modeling the motion of viscous, incompressible Newtonian fluids - have been capturing the attention of an increasing number of mathematicians over the years and has now become one of the most intensely studied subjects in applied analysis. This project is dedicated to a complete and updated mathematical analysis of fundamental topics related to these equations. Every subject will be analyzed using different approaches. The main ideas behind them as well as their differences will also be emphasized and discussed. The book aims at being self-contained, however, it will also be supported by a vast bibliography for further reading.

Zielgruppe

Research

Autoren/Hrsg.

Galdi, Giovanni P.

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematische Analysis Vektoranalysis, Physikalische Felder
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Kontinuumsmechanik

Inhaltsverzeichnis

I. Navier-Stokes Equations.- II. Boundary-Value Problem: Flow in Bounded Domains.- III. Boundary-Value Problem: Flow in Unbounded Domains.- IV. Time-Periodic Flow. Bounded Domains.- V. Time-Periodic Flow. Unbounded Domains.- VI. The Initial-Boundary Value Problem.- VII. Stability and Long-Time Behavior.- Bibliography.

Über Autor(innen)

Galdi, Giovanni P.
Giovanni P. Galdi is Leighton E. and Mary N. Orr Professor of Engineering and Professor of Mathematics at the Department of Mechanical Engineering and Materials Science of the University of Pittsburgh, Pennsylvania, USA.